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Finding the Third Proportional to 71,524 and 153,956

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Solution

The third proportional to 71,524 and 153,956 is: 331,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,524 : 153,956 = 153,956 : x
  2. Step 2: Convert to fraction form
    71,524/153,956 = 153,956/x
  3. Step 3: Cross multiply
    71,524x = 153,956 × 153,956
  4. Step 4: Simplify right side
    71,524x = 23,702,449,936
  5. Step 5: Solve for x
    x = 23,702,449,936/71,524
  6. Step 6: Final answer
    x = 331,391.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.